While algorithm visualizations have proved valuable to the CS education community, even the better algorithm visualizations today are limited to instruction in the mechanics of how a given data structure or algorithm behaves. We discuss the value of going beyond the scope of such algorithm visualizations to provide students with an opportunity to explore the relative merits of alternative implementations. We call such artifacts “algorithm explorations. ” As an illustration of what an algorithm exploration might look like, we describe a hashing tutorial that we have implemented.